2122121220337 has 2 divisors, whose sum is σ = 2122121220338. Its totient is φ = 2122121220336.

The previous prime is 2122121220301. The next prime is 2122121220353. The reversal of 2122121220337 is 7330221212212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1487524168881 + 634597051456 = 1219641^2 + 796616^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122121220337 - 2³⁵ = 2087761481969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122121220367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060610168 + 1061060610169.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060610169).

Almost surely, 2^{2122121220337} is an apocalyptic number.

It is an amenable number.

2122121220337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122121220337 is an equidigital number, since it uses as much as digits as its factorization.

2122121220337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 2122121220337 its reverse (7330221212212), we get a palindrome (9452342432549).

The spelling of 2122121220337 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, three hundred thirty-seven".